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Finding the Third Proportional to 2,837,824 and 6,305,503

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Solution

The third proportional to 2,837,824 and 6,305,503 is: 14,010,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,824 : 6,305,503 = 6,305,503 : x
  2. Step 2: Convert to fraction form
    2,837,824/6,305,503 = 6,305,503/x
  3. Step 3: Cross multiply
    2,837,824x = 6,305,503 × 6,305,503
  4. Step 4: Simplify right side
    2,837,824x = 39,759,368,083,009
  5. Step 5: Solve for x
    x = 39,759,368,083,009/2,837,824
  6. Step 6: Final answer
    x = 14,010,512.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.